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The QuiverTools package for SageMath and Julia

Pieter Belmans, Hans Franzen and Gianni Petrella

Vol. 16 (2026), 31–44
DOI: 10.2140/jsag.2026.16.31
Abstract

We introduce QuiverTools, a new software package, available in both a SageMath and Julia version, to study quivers and their moduli spaces of representations. Its key features are the computation of general subdimension vectors, leading to canonical decompositions, and checking the existence of (semi)stable representations, as well as the enumeration of Harder–Narasimhan types and related calculations for Teleman quantization. Computations related to intersection theory on quiver moduli are also implemented.

Keywords
quiver moduli
Mathematical Subject Classification
Primary: 14D20, 16G20
Supplementary material

A tool to work with quivers and moduli of quiver representations.

Milestones
Received: 24 June 2025
Revised: 22 December 2025
Accepted: 10 February 2026
Published: 1 May 2026
Authors
Pieter Belmans
Mathematical Institute
Utrecht University
Utrecht
Netherlands
Hans Franzen
Stuttgart
Germany
Gianni Petrella
Department of Mathematics
Université de Luxembourg
Luxembourg